Quiz — Série-20.pdf

Question 1 sur 10 20:00

[{"id":24824,"question":"Quelle est la solution de l'équation 2x - 5 = 3x + 1 ?","option_a":"x = -6","option_b":"x = -4","option_c":"x = 4","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant l'équation, on obtient 2x - 3x = 1 + 5 → -x = 6 → x = -6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = -6\", \"b\": \"x = -4\", \"c\": \"x = 4\", \"d\": \"x = 6\"}}","_debug_options_count":4},{"id":24825,"question":"Un vecteur a pour coordonnées (3, -2). Quelle est la norme de ce vecteur ?","option_a":"√13","option_b":"√5","option_c":"5","option_d":"1","option_e":"","option_f":"","bonne_reponse":"a","explication":"La norme se calcule par √(3² + (-2)²) = √(9 + 4) = √13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"√13\", \"b\": \"√5\", \"c\": \"5\", \"d\": \"1\"}}","_debug_options_count":4},{"id":24826,"question":"Vrai ou Faux ? La fonction f(x) = x² est toujours croissante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction f(x) = x² est décroissante sur ]-∞, 0] et croissante sur [0, +∞[.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":24827,"question":"Quelle est la probabilité d'obtenir un nombre pair en lançant un dé équilibré ?","option_a":"1\/6","option_b":"1\/2","option_c":"1\/3","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"b","explication":"Les nombres pairs sont 2, 4 et 6, soit 3 cas favorables sur 6 possibles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"1\/6\", \"b\": \"1\/2\", \"c\": \"1\/3\", \"d\": \"2\/3\"}}","_debug_options_count":4},{"id":24828,"question":"Vrai ou Faux ? Deux vecteurs sont colinéaires si et seulement si leurs coordonnées sont égales.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Ils sont colinéaires si l'un est un multiple de l'autre, pas nécessairement égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":24829,"question":"Quelle est la solution de l'inéquation -2x + 3 \u003E 7 ?","option_a":"x \u003C -2","option_b":"x \u003E -2","option_c":"x \u003C 2","option_d":"x \u003E 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"En résolvant, on obtient -2x \u003E 4 → x \u003C -2 (le sens de l'inégalité change).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x \u003C -2\", \"b\": \"x \u003E -2\", \"c\": \"x \u003C 2\", \"d\": \"x \u003E 2\"}}","_debug_options_count":4},{"id":24830,"question":"Quelle est la moyenne d'une série de notes : 10, 12, 14, 16 ?","option_a":"13","option_b":"12,5","option_c":"14","option_d":"15","option_e":"","option_f":"","bonne_reponse":"a","explication":"La moyenne se calcule par (10 + 12 + 14 + 16) \/ 4 = 52 \/ 4 = 13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"13\", \"b\": \"12,5\", \"c\": \"14\", \"d\": \"15\"}}","_debug_options_count":4},{"id":24831,"question":"Vrai ou Faux ? La fonction sinus est périodique de période π.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La période de la fonction sinus est 2π, pas π.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":24832,"question":"Quelle est la somme des 5 premiers termes d'une suite arithmétique de premier terme 3 et de raison 2 ?","option_a":"25","option_b":"30","option_c":"35","option_d":"40","option_e":"","option_f":"","bonne_reponse":"b","explication":"La somme se calcule par (5\/2) × (2×3 + (5-1)×2) = (5\/2) × (6 + 8) = 35.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"25\", \"b\": \"30\", \"c\": \"35\", \"d\": \"40\"}}","_debug_options_count":4},{"id":24833,"question":"Quelle est la valeur de sin(30°) ?","option_a":"1\/2","option_b":"√2\/2","option_c":"√3\/2","option_d":"1","option_e":"","option_f":"","bonne_reponse":"a","explication":"La valeur exacte de sin(30°) est 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"1\/2\", \"b\": \"√2\/2\", \"c\": \"√3\/2\", \"d\": \"1\"}}","_debug_options_count":4}]